190085706720 has 1920 divisors, whose sum is σ = 922078080000. Its totient is φ = 35688480768.

The previous prime is 190085706719. The next prime is 190085706749. The reversal of 190085706720 is 27607580091.

190085706720 is a `hidden beast` number, since 1 + 9 + 0 + 0 + 8 + 570 + 6 + 72 + 0 = 666.

It is a super-2 number, since 2×190085706720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 380933031 + ... + 380933529.

It is an arithmetic number, because the mean of its divisors is an integer number (480249000).

Almost surely, 2^190085706720 is an apocalyptic number.

190085706720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190085706720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461039040000).

190085706720 is an abundant number, since it is smaller than the sum of its proper divisors (731992373280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

190085706720 is a wasteful number, since it uses less digits than its factorization.

190085706720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 190085706720 in words is "one hundred ninety billion, eighty-five million, seven hundred six thousand, seven hundred twenty".